We are tasked to solve the given expression P(x) = x⁴ + 9x³- 9x + 2 using and applying synthetic division. Well, to answer this problem, we only to substitute the value of x in the P(x) such as the complete solution is shown below:
P(x) = x⁴ + 9x³ - 9x + 2
substitute -2 in x such as:
P (-2) = (-2)⁴ + 9(-2)³ - 9(-2) + 2
P(-2) = 16 - 72 + 18+ 2
P (-2) = -36
The answer is - 36 which is the letter B in the choices.